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Finding the Fourth Proportional to 27,409.50, 37,832.20 and 17,873.17

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Solution

The fourth proportional to 27,409.50, 37,832.20 and 17,873.17 is: 24,669.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,409.50 : 37,832.20 = 17,873.17 : x
  2. Step 2: Convert to fraction form
    27,409.50/37,832.20 = 17,873.17/x
  3. Step 3: Cross multiply
    27,409.50x = 37,832.20 × 17,873.17
  4. Step 4: Simplify right side
    27,409.50x = 676,181,202.81
  5. Step 5: Solve for x
    x = 676,181,202.81/27,409.50
  6. Step 6: Final answer
    x = 24,669.59

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.